Hamel basis

Hamel basis

[′ham·əl ¦bā·səs]
(mathematics)
For a normed space, a collection of vectors with every finite subset linearly independent, while any vector of the space is a linear combination of at most countably many vectors from this subset.
References in periodicals archive ?
* Hamel function if the graph of f is a Hamel basis for [R.sup.2] (f [member of] HF);
[17, Lemma 7] Let V [subset or equal to] [R.sup.n] be a Hamel basis and v' [member of] V.
Let H be a Hamel basis of R as a Q-vector space such that all elements in H are positive.